152 



BELL SYSTEM TECHNICAL JOURNAL 



The values in the table given below were computed by Simpson's rule for 

 numerical integration. The work was checked at several points by using 



Ie{k,x)= t(k/2r^^A„ 



ni 



I W.I 



where 



r- 2 2n -J 



When X is so large that Ie{k, x) is nearly equal to Ie(k, oo ) we have 



Ie{k, x) - (1 - kY'" - [2)^(1 - k)r"\2/VT) f 



J t 



dt 



where /i = ^/^(l — k). However, this was not found to be especially useful 

 in checking the values given in the table. 



Table of Ie{k, x) 





e-^'hiku) du 



